Abstract #300941

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JSM 2002 Abstract #300941
Activity Number: 179
Type: Contributed
Date/Time: Tuesday, August 13, 2002 : 8:30 AM to 10:20 AM
Sponsor: General Methodology
Abstract - #300941
Title: Moment Estimation for Statistics from Marked Point Processes
Author(s): Michael Sherman*+
Affiliation(s): Texas A&M University
Address: Blocker Building, College Station, Texas, 77807, USA
Keywords: Poisson process ; nonparametric estimation ; Confidence intervals ; subsampling ; point processes ; random fields
Abstract:

In spatial statistics, the data typically consist of measurements of some quantity at irregularly scattered locations; in other words, the data form a realization of a marked point process. In this paper, we formulate subsampling estimators of the moments of general statistics computed from marked point process data, and establish their consistency. The variance estimator in particular can be used for the construction of confidence intervals for estimated parameters. A practical data-based method of choosing a subsampling parameter is given and illustrated on a data set. Finite-sample simulation examples are also presented.

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